107212281800 has 180 divisors, whose sum is σ = 272025691455. Its totient is φ = 39297123840.

The previous prime is 107212281791. The next prime is 107212281829. The reversal of 107212281800 is 8182212701.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 23 ways, for example, as 106946004676 + 266277124 = 327026^2 + 16318^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=231530.

It is a super-2 number, since 2×107212281800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 782571332 + ... + 782571468.

Almost surely, 2^107212281800 is an apocalyptic number.

107212281800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107212281800

107212281800 is an abundant number, since it is smaller than the sum of its proper divisors (164813409655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107212281800 is an frugal number, since it uses more digits than its factorization.

107212281800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

Multiplying 107212281800 by its sum of digits (32), we get a square (3430793017600 = 1852240²).

The spelling of 107212281800 in words is "one hundred seven billion, two hundred twelve million, two hundred eighty-one thousand, eight hundred".